Givem SU ~ LR .S.-----------.T.-----l----.U.
TU ~ LN
Prove: ST ~ N-R .L.-----l---.N.------.R.
Statements
a. SU -~ LR, TU -~ LN
b.
c.SU = ST + TU
LR = LN + AFR
d.ST + TU = LN + NR
e. ST + LN = LN + NR
f. ST + LN- LN = LN + NR - LN
g.
h.ST ~- NR
Reasons
a.
b. Definition of ~ segments
c.
d.
e.
f.
g.
h.
Answers Below:
Statements==> b. SU=LR, TU=LN g.ST=NR
Reasons==> a. Given c. Segment Addition Postulate d. Substitution/Transitive P.E. e.Substitution f.Subtraction P.E. g. Simplify h.Definition of congruence
Given>
LK = 5, JK = 5,
SOLUTION
a.LK = 5
b.JK = 5
c. Definition of congruent segments
d.
Given> ,
Write a complete proof by rearranging the reasons listed on the pieces of paper.
TU ~ LN
Prove: ST ~ N-R .L.-----l---.N.------.R.
Statements
a. SU -~ LR, TU -~ LN
b.
c.SU = ST + TU
LR = LN + AFR
d.ST + TU = LN + NR
e. ST + LN = LN + NR
f. ST + LN- LN = LN + NR - LN
g.
h.ST ~- NR
Reasons
a.
b. Definition of ~ segments
c.
d.
e.
f.
g.
h.
Answers Below:
Statements==> b. SU=LR, TU=LN g.ST=NR
Reasons==> a. Given c. Segment Addition Postulate d. Substitution/Transitive P.E. e.Substitution f.Subtraction P.E. g. Simplify h.Definition of congruence
SOLUTION
Given>
Write a complete proof by rearranging the reasons listed on the pieces of paper.